474708960 has 288 divisors, whose sum is σ = 1845462528. Its totient is φ = 109992960.

The previous prime is 474708929. The next prime is 474708961. The reversal of 474708960 is 69807474.

474708960 is a `hidden beast` number, since 47 + 470 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474708961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363669 + ... + 364971.

It is an arithmetic number, because the mean of its divisors is an integer number (6407856).

Almost surely, 2^474708960 is an apocalyptic number.

474708960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922731264).

474708960 is an abundant number, since it is smaller than the sum of its proper divisors (1370753568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

474708960 is a wasteful number, since it uses less digits than its factorization.

474708960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 474708960 is about 21787.8167791085. The cubic root of 474708960 is about 780.0859865758.

The spelling of 474708960 in words is "four hundred seventy-four million, seven hundred eight thousand, nine hundred sixty".